Question

During an adiabatic process, the pressure of a gas is proportional to the cube of its absolute temperature. The value of C_p/C_v for that gas is –

• A. 3/5
• B. 4/3
• C. 5/3
• D. 3/2

Answer 1

Answer: (D)

3/2

Answer 2

For adiabatic process

P µ T^{(g /g–1)} (i)

Given P µ T³ (ii)

From eq. (i) & (ii)

$\frac { \gamma } { \gamma - 1 } = 3$ ̃ g = 3g – 3

g = 3/2